If `x` is positive, the first negative term in the expansion of `(1+x)^(27//5)i s(|x|<1)` a.`5t ht e r m` b. `8t ht e r m` c. `6t ht e r m` d. `7t ht e r m`

If (r+1)t h term is the first negative term in the expansion of (1+x)^(7//2), then find the value of rdot

If the coefficients of (r-5)t h a n d(2r-1)t h terms in the expansion of (1+x)^(34) are equal, find rdot

If the coefficients of (r-5)^(t h) and (2r-1)^(t h) terms in the expansion of (1+x)^(34) are equal, find r .

If the coefficients of (r-5)^(t h) and (2r-1)^(t h) terms in the expansion of (1+x)^(34) are equal, find rdot

If the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the expansion of (1+x)^(14) are in A.P., then r is/are a. 5 b. 11 c. 10 d. 9

Integrate the following w.r.t x e^(2x+1)

Differentiate the following w.r.t.x. e^(x)sinx

In a binomial expansion (x_y)^n gretest term means numericaly greatest term and therefore greatest term in (x-y)^n and (x+y)^n are ame. I frth therm t_r be the greatest term in the expansion of (x+y)^n whose therms are all ositive, then t_rget_(r+1) and t_rget_=(r-1)i.e. t_r/t_mge1 and t_r/t_(r-)ge1 On the basis of above information answer the following question:If rth term is the greatest term in the expansion f (2-3x0^10 then r= (A) 5 (B) 6 (C) 7 (D) none of these

In a binomial expansion (x+y)^n gretest term means numericaly greatest term and therefore greatest term in (x-y)^n and (x+y)^n are ame. I frth therm t_r be the greatest term in the expansion of (x+y)^n whose therms are all ositive, then t_rget_(r+1) and t_rget_=(r-1)i.e. t_r/t_mge1 and t_r/t_(r-)ge1 ON the basis of above information answer the following question: Greatest term in the expansion of (2+3x0^10, whern x= 3/5 is (A) ^10C_5(18/5)^5 (B) ^10C_6(18/5)^6 (C) ^10C_4(18/5)^4 (D) none of these

The coefficients of (r-1)^(t h),\ r t h\ a n d\ (r+1)^(t h) terms in the expansion of (x+1)^n are in the ratio 1:3:5. Find n\ a n d\ rdot